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Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds

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Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds - Pollicott, Mark
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Pesin theory consists of the study of the theory of non-uniformly hyperbolic diffeomorphisms. The aim of this book is to provide the reader with a straightforward account of this theory, following the approaches of Katok and Newhouse. The notes are divided into two parts. The first develops the basic theory, starting with general ergodic theory and introducing Liapunov exponents. Part Two deals with the applications of Pesin theory and contains an account of the existence (and distribution) of periodic points. It closes ...

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Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds 1993, Cambridge University Press, Cambridge

ISBN-13: 9780521435932

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